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-rw-r--r-- | bezout.tex | 4 |
1 files changed, 2 insertions, 2 deletions
@@ -118,7 +118,7 @@ We see from (\ref{cosa}) that at any critical point, $\epsilon=H/N$, the average Since $H$ is holomorphic, any critical point of $\operatorname{Re}H$ is also a critical point of $\operatorname{Im}H$. The number of critical points of $H$ is therefore the same as that of $\operatorname{Re}H$. From each saddle -emerges a gradient line of $\operatorname{Re}H$, which is also one of constant +emerge a gradient lines of $\operatorname{Re}H$, which is also one of constant $\operatorname{Im}H$ and therefore constant phase. Writing $z=x+iy$, $\operatorname{Re}H$ can be considered a real-valued function @@ -441,7 +441,7 @@ threshold level, where the system develops a mid-spectrum gap, will play a crucial role as it does in the real case. \begin{acknowledgments} -We wish to thank Alexander Altland for a useful suggestion. +We wish to thank Alexander Altland, Satya Majumdar and Gregory Schehr for a useful suggestions. JK-D and JK are supported by the Simons Foundation Grant No.~454943. \end{acknowledgments} |